Research interests and links:

 
 Functional Analysis
 
 Operator Algebras, Limit Algebras and Subalgebras of C*-algebras
 
 Operator Theory and Hankel Operators
 
 Rigid and flexible frameworks, finite and infinite
 
 "Rigidity of Periodic Structures ... ": Kavli Royal Society International Centre, 23,24 February, 2012
 
 LMS Workshop at Lancaster, 12-15th July 2010: Rigidity of Frameworks and Applications
 
 Faculty Lecture 15th Dec. 2009, Geometric Constraint System Stories: Evariste Galois, CAD and Crystallography

 Recent Papers:

  Crystal frameworks, symmetry and affinely periodic flexes, 26 pages, 2011
  Polynomials for crystal frameworks and the rigid unit mode spectrum, revision of ArXiv paper, Jan. 2012
  (with A. Nixon and J.C. Owen) Rigidity of frameworks supported on surfaces, 33 pages, 2010 (revised April 2011)
  (with J.C. Owen) Infinite bar-joint frameworks, crystals and operator theory, 46 pages, 2010 (revised April 2011)
  (with J.C. Owen) Frameworks, Symmetry and Rigidity, (IJCGA, 2010)
  (with J.C. Owen) Continuous curves from infinite Kempe linkages, Bull. LMS 2009 ; doi: 10.1112/blms/bdp087
  (with S. Olphert) Higher rank wavelets, DOI: 10.4153/CJM-2011-012-1, Canad. J. Math. 63(2011), 689-720
  (with R. Levene)  Manifolds of Hilbert space projections, Proc. LMS 2009; doi: 10.1112/plms/pdp035
  Classifying higher rank Toeplitz algebras, ABSTRACT
  Operator algebras associated with unitary commutation relation, (with B. Solel).ABSTRACT
  Dilation theory for rank two graph algebras, (with K. Davidson and D. Yang). ABSTRACT
  Atomic representations of rank 2 graph algebras,(with K. Davidson and D. Yang). ABSTRACT


Talks:

  Space group and point group symmetry equations for the Borcea-Streinu rigidity matrix 
  of a crystal framework. Fields Institute, 19 Oct 2011
  Crystal frameworks,Rigidity Operators and the RUM spectrum   Univ. of Waterloo, 21st Oct 2011


 Other Papers:

 
 Papers on the preprint ArXiv
 
 Research articles 2000-
 
 Research articles 1990-1999...., my books, miscellany
 
 Research articles pre 1990
 
  Until recently I was editorial advisor for the Bulletin, Journal and  Proceedings of the London Mathematical Society 
 
  I am on the Editorial Board of the Journal of Mathematical Analysis and Application 
 
 The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous 
applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, 
biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions.




Other links:



 
 IWOTA 2011 lecture, 4th July
 
 SUMMER SCHOOL LECTURE NOTES for Lisbon, Sept 1-5, 2006.
 
 Advanced Course in Operator Theory and Complex Analysis, Seville, June
 
 Guelph Operator Algebra Workshop
 
 Operator Algebras, Operator Theory and Applications, Lisbon, Sept 1-5, 2006.
 
 Operator Algebra Resources 
 
 Ambleside Conference Pictures, July 2004

Interest:

 
 The Spanish/classical guitar: Bach, Sanz, Logy, Dowland,  .. , Barrios, .. , Dilermando Ries, .. , Paco de Lucia, Yamandu Costa.



 
 Department Numbers:
Tel +44 (0)1524 59 3960
Fax +44 (0)1524 59 2681
 
 Department of Mathematics and Statistics home page of Lancaster University